Mappings of Baire spaces into function spaces and Kadeč renorming

DOI10.1007/BF02801567zbMath0794.54036OpenAlexW2144058083MaRDI QIDQ1802727

Isaac Namioka, Roman Pol

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02801567

zbMATH Keywords

Baire spaceKadeč norm

Mathematics Subject Classification ID

Baire category, Baire spaces (54E52)

Related Items (19)

Universally meager sets and principles of generic continuity and selection in Banach spaces ⋮ Baire trees, bad norms and the Namioka property ⋮ Fragmentability of groups and metric-valued function spaces ⋮ Eberlein theorem and norm continuity of pointwise continuous mappings into function spaces ⋮ Universally meager sets. II ⋮ A weak Asplund space whose dual is not weak$^*$ fragmentable ⋮ Continuity points of quasi-continuous mappings. ⋮ A dual differentiation space without an equivalent locally uniformly rotund norm ⋮ Fragmentability in Banach spaces: interaction of topologies ⋮ A weak Asplund space whose dual is not in Stegall’s class ⋮ Variational principles and topological games ⋮ Separate continuity, joint continuity and the Lindelöf property ⋮ On Banach spaces whose norm-open sets are \(F_\sigma \)-sets in the weak topology ⋮ Sigma-fragmentability and the property SLD in \(C(K)\) spaces ⋮ ON A PROBLEM OF TALAGRAND CONCERNING SEPARATELY CONTINUOUS FUNCTIONS ⋮ FRAGMENTABILITY BY THE DISCRETE METRIC ⋮ Some observations on \(C_p\)-theory and bibliography ⋮ Sigma-fragmentability of mappings into \(C_p(K)\) ⋮ Special issue on \(C_p(X)\)-theory

Cites Work

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• Separate continuity and joint continuity
• Pointwise and uniform convergence on a Corson compact space
• Solution of Kuratowski's problem on function having the Baire property, I
• Some Applications of Projective Resolutions of Identity
• Cartesian Products of Metric Baire Spaces
• A Counterexample to Several Questions about Scattered Compact Spaces
• A locally uniformly convex renorming for certain ℒ(K)
• σ‐fragmentable Banach spaces

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